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Finding the Fourth Proportional to 8,011.53, 12,011.63 and 3,077.01

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Solution

The fourth proportional to 8,011.53, 12,011.63 and 3,077.01 is: 4,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.53 : 12,011.63 = 3,077.01 : x
  2. Step 2: Convert to fraction form
    8,011.53/12,011.63 = 3,077.01/x
  3. Step 3: Cross multiply
    8,011.53x = 12,011.63 × 3,077.01
  4. Step 4: Simplify right side
    8,011.53x = 36,959,890.24
  5. Step 5: Solve for x
    x = 36,959,890.24/8,011.53
  6. Step 6: Final answer
    x = 4,613.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.